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Question Number 26634 by tawa tawa last updated on 27/Dec/17

Commented by tawa tawa last updated on 27/Dec/17

$$\mathrm{Am}\mathrm{confused}\mathrm{about}\mathrm{the}\mathrm{direction}\mathrm{of}\mathrm{the}25\mathrm{N}\mathrm{arrow}...\mathrm{does}\mathrm{it}\mathrm{mean}(-20\mathrm{N})??$$

Answered by mrW1 last updated on 28/Dec/17

$$F_x=15+10\times \cos 30+20\cos 30-5\sin 30+25\sin 30-30$$$$=-15+30\times \cos 30+20\sin 30$$$$=-15+30\times \frac{\sqrt{3}}{2}+20\times \frac{1}{2}$$$$=15\sqrt{3}-5$$$$=5(3\sqrt{3}-1)$$$$$$$$F_y=10\times \sin 30-20\sin 30+5\cos 30+25\cos 30$$$$=-10\times \sin 30+30\cos 30$$$$=-10\times \frac{1}{2}+30\times \frac{\sqrt{3}}{2}$$$$=-5+15\sqrt{3}$$$$=5(3\sqrt{3}-1)$$$$$$$$F=\sqrt{F_x^2+F_y^2}=5(3\sqrt{3}-1)\sqrt{2}$$$$\approx 29.67N$$

Commented by tawa tawa last updated on 28/Dec/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

Commented by tawa tawa last updated on 28/Dec/17

$$\mathrm{But}\mathrm{sir}\mathrm{the}25\mathrm{N}\mathrm{is}\mathrm{negative}\mathrm{right}??.[-25\mathrm{N}]$$

Commented by mrW1 last updated on 28/Dec/17

$$Itisthesameasthis:$$

Commented by mrW1 last updated on 28/Dec/17

Commented by tawa tawa last updated on 28/Dec/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.\mathrm{i}\mathrm{really}\mathrm{appreciate}.$$

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